A farmer has 308 ft of fence to enclose a rectangular pen. Write an equation for the area of that pen in terms of its length.
Assuming that all 4 sides are fenced.......we have....
Total perimeter = 2(Width + Length) .....so.....
308 = 2(Width + Length) divide both sides by 2
154 = Width + Length subtract the Length from both sides
154 - Length = Width
And...... Area = Length * Width ........so we have
Area = Length * (154 - Length)